Wednesday, April 6, 2016

number theory - $sqrt{17}$ is irrational: the Well-ordering Principle

Prove that $\sqrt{17}$ is irrational by using the Well-ordering property of the natural numbers.



I've been trying to figure out how to go about doing this but I haven't been able to.

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...